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26248272 = 24317191693
BaseRepresentation
bin110010000100…
…0010001010000
31211101112212020
41210020101100
523204421042
62334331440
7436051401
oct144102120
954345766
1026248272
11138a8796
128959b80
13559042b
1436b39a8
1524873ec
hex1908450

26248272 has 80 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 7796736.

The previous prime is 26248223. The next prime is 26248279. The reversal of 26248272 is 27284262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26248279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14658 + ... + 16350.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 226248272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

26248272 is an abundant number, since it is smaller than the sum of its proper divisors (49371888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26248272 is a wasteful number, since it uses less digits than its factorization.

26248272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 26248272 is about 5123.3067446718. The cubic root of 26248272 is about 297.1895761635.

The spelling of 26248272 in words is "twenty-six million, two hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1693 1938 2584 3386 3876 5079 5168 6772 7752 10158 13544 15504 20316 27088 28781 32167 40632 57562 64334 81264 86343 96501 115124 128668 172686 193002 230248 257336 345372 386004 460496 514672 546839 690744 772008 1093678 1381488 1544016 1640517 2187356 3281034 4374712 6562068 8749424 13124136 26248272